Two horizontal forces, P and Q , are acting on a block that is placed on a table

Question

Two horizontal forces, P and Q , are acting on a block that is placed on a table. We know that P is directed to the left but the direction of Q is unknown; it could either be directed to the right or to the left. The object moves along the x-axis. Assume there is no friction between the object and the table. Here P = 8.5 N and the mass of the block is 3.5 kg. (a) What is the magnitude and direction of Q when the block moves with constant velocity? (Indicate the direction with the sign of your answer.) (b) What is the magnitude and direction of Q when the acceleration of the block is +6.8 m/s2. (Indicate the direction with the sign of your answer.) (c) Find the magnitude and direction of Q when the acceleration of the block is 6.8 m/s2. (Indicate the direction with the sign of your answer.)

Explanation / Answer

(a) Q = +8.5 N

(b) Q = {(6.8*3.5) + 8.5} = +32.3 N

(c) Q = -{(6.8*3.5) - 8.5} = -15.3 N

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